Efficient Scaling and Moving Techniques for Spectral Methods in Unbounded Domains

DOI10.1137/20M1347711zbMath1484.65277arXiv2009.13170OpenAlexW3199727000MaRDI QIDQ3382803

Mingtao Xia, Sihong Shao, Tom Chou

Publication date: 22 September 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.13170

zbMATH Keywords

unbounded domainblowupscalingspectral methodmoving meshHermite functionrational basis functionLaguerre function

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical computation of matrix norms, conditioning, scaling (65F35) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Blow-up in context of PDEs (35B44) Soliton solutions (35C08)

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